Asymptotically pendulum-like motions of the Hess-Appel'rot gyroscope

DOI10.1016/0021-8928(84)90145-XzbMath0581.70016OpenAlexW1980879416MaRDI QIDQ1067799

Yu. P. Varkhalev, G. V. Gorr

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(84)90145-x

zbMATH Keywords

asymptotically pendulum-like motions of heavy rigid bodygyration ellipsoidLyapunov-Poincaré method

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Motion of the gyroscope (70E05)

Related Items (3)

The sufficient conditions for the existence of asymptotically pendulum- like motions of a heavy rigid body with a fixed point ⋮ The Hess-Appelrot system. III: Splitting of separatrices and chaos ⋮ On a class of solutions for the dynamic equations of a rigid body acted upon by potential and gyroscopic forces

Cites Work

• A class of motions of a top in the Goryachev-Chaplygin case
• Kinematic interpretation of the motion of a body in the Hess' solution
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